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- W3097989246 abstract "We determine the optimal horoball packings of the asymptotic or Koszul-type Coxeter simplex tilings of hyperbolic 5-space, where the symmetries of the packings are derived from Coxeter groups. The packing density $$varTheta = frac{5}{7 zeta (3)} approx 0.5942196502ldots $$ is optimal and realized in eleven cases in a commensurability class of arithmetic Coxeter tilings. For the optimal packing arrangements, horoballs are centered at each ideal vertex of the tiling, and horoballs of different types are used. The packings constructed give an effective proof for a new lower bound for the packing density in $$overline{{mathbb {H}}}^5$$." @default.
- W3097989246 created "2020-11-23" @default.
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- W3097989246 date "2019-07-20" @default.
- W3097989246 modified "2023-10-18" @default.
- W3097989246 title "New horoball packing density lower bound in hyperbolic 5-space" @default.
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- W3097989246 doi "https://doi.org/10.1007/s10711-019-00473-x" @default.
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